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D( x )
2*x+1 = 0
2*x+1 = 0
2*x+1 = 0
2*x+1 = 0 // - 1
2*x = -1 // : 2
x = -1/2
x in (-oo:-1/2) U (-1/2:+oo)
(6*x^3-(1*x^2)+1)/(2*x+1) = 0
(6*x^3-x^2+1)/(2*x+1) = 0
6*x^3-x^2+1 = 0
6*x^3-x^2+1 = 0
{ 1, -1 }
1
x = 1
6*x^3-x^2+1 = 6
1
-1
x = -1
6*x^3-x^2+1 = -6
-1
{ 1/2, -1/2, 1/3, -1/3, 1/6, -1/6, -1/2, 1/2, -1/3, 1/3, -1/6, 1/6 }
1/2
x
1/2
6*x^3-x^2+1 = 1.5
1/2
-1/2
x
-1/2
6*x^3-x^2+1 = 0
-1/2
x+1/2
6*x^2-4*x+2
6*x^3-x^2+1
x+1/2
-6*x^3-3*x^2
1-4*x^2
4*x^2+2*x
2*x+1
-2*x-1
0
6*x^2-4*x+2 = 0
DELTA = (-4)^2-(2*4*6)
DELTA = -32
DELTA < 0
x in { -1/2}
x+1/2 = 0
(x+1/2)/(2*x+1) = 0
x+1/2 = 0 // - 1/2
x = -1/2
x in { -1/2}
x belongs to the empty set
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